Harrison practiced a collegial manner of governing, and worked to include laity and especially women in the diocesan affairs.[5] He launched diocesan programs for African Americans, Hispanic, Native Americans, and the disabled.[4] He once played a game of golf with entertainer Bob Hope, who later recorded a radio ad for the diocese's first HOPE Appeal, an annual fundraiser Harrison started in 1978.[2] In 1980 he called for the United States to cease its aid to El Salvador following the murder of three nuns, declaring, "As Christians and as Americans, we cannot condone our resources and our tax dollars being used to help any foreign government repress its own people so brutally."[2] He later expressed his opposition to military aid for Nicaragua.[2]
Shortly before reaching the mandatory retirement age of 75, Harrison resigned as bishop on June 16, 1987.[3] He later died at St. Camillus Health and Rehabilitation Center, aged 91.[2] He is buried at the St. Agnes Cemetery in Syracuse.[1]